Geodesic
A discrete boundary value problem with point interaction
Filomat, Tome 36 (2022) no. 18, p. 6279

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DOI

This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation with point interaction and boundary conditions depending on a hyperbolic eigenvalue parameter. This paper presents some spectral and scattering properties of this BVP in terms of Jost solution, scattering solutions, scattering function, continuous and discrete spectrum. In addition, the resolvent operator of the BVP is obtained to get the properties of eigenvalues. Furthermore, an example is considered as a special case of the main problem to demonstrate the effectiveness of our results.
DOI : 10.2298/FIL2218279A
Classification : 39A70, 47A10, 47A75
Keywords: Scattering solution, Point interaction, Eigenvalue, Resolvent operator, Scattering function 
Yelda Aygar; Turhan Koprubasi. A discrete boundary value problem with point interaction. Filomat, Tome 36 (2022) no. 18, p. 6279 . doi: 10.2298/FIL2218279A
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     author = {Yelda Aygar and Turhan Koprubasi},
     title = {A discrete boundary value problem with point interaction},
     journal = {Filomat},
     pages = {6279 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218279A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218279A/}
}
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